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A337299 Expansion of Product_{k>0} (1 - 2^(k-1)*x^k). 1
1, -1, -2, -2, -4, 0, -8, 16, 0, 64, 64, 384, 0, 1536, 1024, 3072, 2048, 16384, -8192, 49152, -32768, 32768, -65536, 262144, -1835008, 524288, -3145728, -6291456, -18874368, -4194304, -117440512, -16777216, -301989888, -469762048, -671088640, -805306368, -6710886400, 536870912 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This sequence is obtained from the generalized Euler transform in A266964 by taking f(n) = -1, g(n) = 2^(n-1).

LINKS

Seiichi Manyama, Table of n, a(n) for n = 0..1000

MATHEMATICA

m = 37; CoefficientList[Series[Product[1 - 2^(k - 1)*x^k, {k, 1, m}], {x, 0, m}], x] (* Amiram Eldar, Aug 22 2020 *)

PROG

(PARI) N=40; x='x+O('x^N); Vec(prod(k=1, N, 1-2^(k-1)*x^k))

CROSSREFS

Convolution inverse of A075900.

Cf. A266964, A304961.

Sequence in context: A326127 A276151 A144412 * A240491 A113750 A282627

Adjacent sequences:  A337296 A337297 A337298 * A337300 A337301 A337302

KEYWORD

sign

AUTHOR

Seiichi Manyama, Aug 22 2020

STATUS

approved

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Last modified May 22 06:54 EDT 2022. Contains 353933 sequences. (Running on oeis4.)